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Finding the Fourth Proportional to 137,032.40, 205,640.40 and 48,286.10

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Solution

The fourth proportional to 137,032.40, 205,640.40 and 48,286.10 is: 72,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,032.40 : 205,640.40 = 48,286.10 : x
  2. Step 2: Convert to fraction form
    137,032.40/205,640.40 = 48,286.10/x
  3. Step 3: Cross multiply
    137,032.40x = 205,640.40 × 48,286.10
  4. Step 4: Simplify right side
    137,032.40x = 9,929,572,918.44
  5. Step 5: Solve for x
    x = 9,929,572,918.44/137,032.40
  6. Step 6: Final answer
    x = 72,461.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.